From 6e9cd2cc43fb989fa84de987fec90aa41e9887b4 Mon Sep 17 00:00:00 2001 From: Simon Guichandut Date: Mon, 11 Sep 2023 17:34:34 -0400 Subject: [PATCH] new initial model, with dF/dy=-eps, and X=X(y) --- .../create_initial_model/.gitignore | 2 + .../xrb_layered/create_initial_model/plot.py | 7 +- .../create_initial_model/toy_atm.png | Bin 310742 -> 0 bytes .../create_initial_model/toy_atm/.gitignore | 4 - .../create_initial_model/toy_atm/_parameters | 62 +- .../create_initial_model/toy_atm/init_1d.H | 433 +-- .../create_initial_model/toy_atm/inputs | 39 +- .../toy_atm/inputs_fit_mesa | 29 + .../create_initial_model/toy_atm/inputs_hot | 31 + .../toy_atm/inputs_hot_castro | 31 + .../toy_atm/toy_atm_3cm.hse.extras | 3076 ----------------- .../toy_atm/toy_atm_fit_mesa_3cm.hse | 1050 ++++++ .../toy_atm/toy_atm_fit_mesa_3cm.hse.extras | 3076 +++++++++++++++++ .../toy_atm/toy_atm_hot_3cm.hse | 1050 ++++++ .../toy_atm/toy_atm_hot_3cm.hse.extras | 3076 +++++++++++++++++ ...atm_3cm.hse => toy_atm_hot_castro_3cm.hse} | 2048 +++++------ .../toy_atm/toy_atm_hot_castro_3cm.hse.extras | 3076 +++++++++++++++++ .../toy_atm_fit_mesa_3cm.hse.png | Bin 0 -> 310856 bytes .../toy_atm_hot_3cm.hse.png | Bin 0 -> 310771 bytes .../toy_atm_hot_castro_3cm.hse.png | Bin 0 -> 311364 bytes 20 files changed, 12648 insertions(+), 4442 deletions(-) delete mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm.png delete mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/.gitignore create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_fit_mesa create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_castro delete mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_3cm.hse.extras create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_fit_mesa_3cm.hse create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_fit_mesa_3cm.hse.extras create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_3cm.hse create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_3cm.hse.extras rename Exec/science/xrb_layered/create_initial_model/toy_atm/{toy_atm_3cm.hse => toy_atm_hot_castro_3cm.hse} (58%) create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_castro_3cm.hse.extras create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm_fit_mesa_3cm.hse.png create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm_hot_3cm.hse.png create mode 100644 Exec/science/xrb_layered/create_initial_model/toy_atm_hot_castro_3cm.hse.png diff --git a/Exec/science/xrb_layered/create_initial_model/.gitignore b/Exec/science/xrb_layered/create_initial_model/.gitignore index bcca5a3cf..7bdc4f7aa 100644 --- a/Exec/science/xrb_layered/create_initial_model/.gitignore +++ b/Exec/science/xrb_layered/create_initial_model/.gitignore @@ -1,3 +1,5 @@ .ipynb_checkpoints/ __pycache__/ plots/ +*old* +**.ex diff --git a/Exec/science/xrb_layered/create_initial_model/plot.py b/Exec/science/xrb_layered/create_initial_model/plot.py index 8239717f6..57db29a8b 100644 --- a/Exec/science/xrb_layered/create_initial_model/plot.py +++ b/Exec/science/xrb_layered/create_initial_model/plot.py @@ -3,6 +3,9 @@ import mesa.py_mesa_reader as mr +import sys +filename = sys.argv[1] + fig,axes = plt.subplots(3,1,figsize=(6,8), sharex=True) fig.subplots_adjust(hspace=0) @@ -27,7 +30,7 @@ axes[2].semilogy(prof.R_cm-12e5, prof.fe56, 'k-',label="fe56") # toy atm model -all_data = np.loadtxt("toy_atm/toy_atm_3cm.hse", skiprows=26).T +all_data = np.loadtxt(filename, skiprows=26).T names = ["density","temperature","pressure","hydrogen-1","helium-4","carbon-12","carbon-13","nitrogen-13","nitrogen-14","nitrogen-15","oxygen-14","oxygen-15","oxygen-16","oxygen-17","oxygen-18","fluorine-17","fluorine-18","fluorine-19","neon-18","neon-19","neon-20","magnesium-22","magnesium-24","iron-56"] data = {name:all_data[i+1] for i,name in enumerate(names)} z = all_data[0] @@ -43,4 +46,4 @@ axes[0].legend(frameon=False, ncol=2, bbox_to_anchor = (0.8,1.15), bbox_transform=axes[0].transAxes) axes[2].legend(loc=3) -fig.savefig("toy_atm.png", bbox_inches="tight", dpi=500) +fig.savefig(filename.split("/")[-1] + ".png", bbox_inches="tight", dpi=500) diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm.png b/Exec/science/xrb_layered/create_initial_model/toy_atm.png deleted file mode 100644 index 3b8fdb0f1a7adb401d41b2b503f553120d24195d..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 310742 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zOJr92y<1Q9sfL_qcbbV(-s$Mu71VMB`yl56{h>c+p9Crtu`lxMV{a|76Agxz8>kGp zH)!*{`Qoy4bUELw?RIlv4UW#>-%aHDQ#Ng%)_+{jF|@rYsK3AMNEUvqX{Z=K*-;tu P>d|VBp72DfFW&qK56%o` diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/.gitignore b/Exec/science/xrb_layered/create_initial_model/toy_atm/.gitignore deleted file mode 100644 index 372c36f55..000000000 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/.gitignore +++ /dev/null @@ -1,4 +0,0 @@ -all_inputs -all_models -*.ex - diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters b/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters index 05fca1295..e86e138bb 100644 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/_parameters @@ -1,69 +1,33 @@ @namespace: problem +model_prefix character "model" + +g_const real -2.450e14 + nx integer 640 +xmin real 0.0 +xmax real 2.e3 dens_base real 2.e6 +low_density_cutoff real 1.e-4 T_star real 1.e8 T_base real 5.e8 T_lo real 5.e7 -H_rad real 700.e0 -F_rad real 1.0e22 - H_star real 500.e0 delta real 25.0 -H_sig real 1000.e0 -alpha_sig real 1.0 -beta_sig real 0.0 - -fuel1_name character "hydrogen-1" -fuel2_name character "helium-4" -fuel3_name character "carbon-12" -fuel4_name character "" -fuel5_name character "" -fuel6_name character "" -fuel7_name character "" - -ash1_name character "iron-56" -ash2_name character "" -ash3_name character "" -ash4_name character "" - -fuel1_frac real 1.0 -fuel2_frac real 0.0 -fuel3_frac real 0.0 -fuel4_frac real 0.0 -fuel5_frac real 0.0 -fuel6_frac real 0.0 -fuel7_frac real 0.0 - -ash1_frac real 0.0 -ash2_frac real 0.0 -ash3_frac real 0.0 -ash4_frac real 0.0 - -xmin real 0.0 -xmax real 2.e3 +H_rad real 700.e0 +F0 real -1 -model_prefix character "toy_atm" +X0 real 0.7 +Zcno real 0.02 +yd real 1.e7 +ash_name character "iron-56" index_base_from_temp integer 0 -do_isothermal_instead integer 0 - -# if do_invsq_grav = .false. we will use g_const for the -# gravitational acceleration. Otherwise, we will compute gravity -# from M_enclosed and the distance from the origin - -M_enclosed real 2.e33 -g_const real -2.450e14 -do_invsq_grav integer 0 - -low_density_cutoff real 1.e-4 - smallx real 1.e-10 - small_temp real -1.e200 small_dens real -1.e200 diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H b/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H index 73c9f9974..d83e365d2 100644 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/init_1d.H @@ -6,10 +6,19 @@ // (T_star) representing the NS, a hyperbolic tangent rise to a // peak temperature (T_base) representing the base of an accreted // layer at r=H_star, an isentropic profile representing the convective -// region at ignition, then a radiative profile from r=H_rad. The -// composition transitions from pure ash, to pure "fuel 2" (helium), -// to a mixture of fuels given with mass fractions specified in the -// inputs file. +// region at ignition, then a radiative profile from r=H_rad. + +// The composition transitions from pure ash, to pure helium, to a solar +// and CNO mixture, with initial hydrogen fraction X0 and CNO fraction +// Zcno (inputs file). The CNO is split between o14 and o15 with ratio +// determined by their beta decay times (70.606/122.24). Because hot CNO burns +// hydrogen at a constant rate: +// X = X0(1-y/yd), +// where yd is the depletion column depth, another input parameter. +// +// In the radiative layer, +// dF/dy = -eps, +// where eps is the constant hot CNO burning rate. // This can serve as an initial model for a He-triggered XRB with an // overlying hydrogen rich shell @@ -44,17 +53,17 @@ // | star layer1 layer2 // 1.0 +--------*---------- // | ash . \ -// | . \ +--------- fuel1_frac +// | . \ +--------- X0 (hydrogen) // | . \ / // | . \/ // | . /\ // | . / \ -// | . / +--------- fuel2_frac -// | . / +--------- fuel3_frac +// | . / +--------- 1-X0-Zcno (helium) +// | . / +--------- Zcno (o14/o15) // 0.0 +--------+---------+-----------------> r // || // |-------| -// |-----------| +// |-----------| // | // // The transition from ash to fuel2 is a hyperbolic tangent, parametrized @@ -103,125 +112,39 @@ AMREX_INLINE void init_1d() const Real smallx = 1.e-10_rt; // get the species indices - - bool species_defined{true}; - - int ifuel1 = network_spec_index(problem_rp::fuel1_name); - if (ifuel1 < 0) - species_defined = false; - - int ifuel2{-1}; - if (problem_rp::fuel2_name != "") - { - ifuel2 = network_spec_index(problem_rp::fuel2_name); - if (ifuel2 < 0) - species_defined = false; - } - - int ifuel3{-1}; - if (problem_rp::fuel3_name != "") - { - ifuel3 = network_spec_index(problem_rp::fuel3_name); - if (ifuel3 < 0) - species_defined = false; - } - - int ifuel4{-1}; - if (problem_rp::fuel4_name != "") - { - ifuel4 = network_spec_index(problem_rp::fuel4_name); - if (ifuel4 < 0) - species_defined = false; - } - - - int iash1 = network_spec_index(problem_rp::ash1_name); - if (iash1 < 0) - species_defined = false; - - int iash2{-1}; - if (problem_rp::ash2_name != "") - { - iash2 = network_spec_index(problem_rp::ash2_name); - if (iash2 < 0) - species_defined = false; - } - - int iash3{-1}; - if (problem_rp::ash3_name != "") - { - iash3 = network_spec_index(problem_rp::ash3_name); - if (iash3 < 0) - species_defined = false; - } - - int iash4{-1}; - if (problem_rp::ash4_name != "") - { - iash4 = network_spec_index(problem_rp::ash4_name); - if (iash4 < 0) - species_defined = false; - } - - if (!species_defined) - { - std::cout << ifuel1 << " " << ifuel2 << " " << ifuel3 << " " << ifuel4 << " " << std::endl; - std::cout << iash1 << " " << iash2 << " " << iash3 << " " << iash4 << std::endl; - amrex::Error("ERROR: species not defined"); - } + int ih1 = network_spec_index("hydrogen-1"); + int ihe4 = network_spec_index("helium-4"); + int io14 = network_spec_index("oxygen-14"); + int io15 = network_spec_index("oxygen-15"); + int iash = network_spec_index(problem_rp::ash_name); Real xn[NumSpec] = {0.0_rt}; // set the composition of the underlying star Real xn_star[NumSpec] = {smallx}; - - xn_star[iash1] = problem_rp::ash1_frac; - if (problem_rp::ash2_name != "") - xn_star[iash2] = problem_rp::ash2_frac; - if (problem_rp::ash3_name != "") - xn_star[iash3] = problem_rp::ash3_frac; - if (problem_rp::ash4_name != "") - xn_star[iash4] = problem_rp::ash4_frac; - + xn_star[iash] = 1.0; // the composition of the first layer above the star - // by definition it is just made of fuel2 + // First we'll set the cno to the correct relative abundance, and the rest will be helium + // Later, we'll replace some of the helium with hydrogen according + // to column depth, or pressure Real xn_base[NumSpec] = {smallx}; - xn_base[ifuel2] = 1.0; - - // and the composition of the top layer, for which the fractions are specified in inputs - - Real xn_top_layer[NumSpec] = {smallx}; - xn_top_layer[ifuel1] = problem_rp::fuel1_frac; - xn_top_layer[ifuel2] = problem_rp::fuel2_frac; - xn_top_layer[ifuel3] = problem_rp::fuel3_frac; - xn_top_layer[ifuel4] = problem_rp::fuel4_frac; - + xn_base[io15] = problem_rp::Zcno / (1.0 + 70.606/122.24); + xn_base[io14] = problem_rp::Zcno - xn_base[io15]; + xn_base[ihe4] = 1.0 - problem_rp::Zcno; // check if they sum to 1 double sum{0.0}; - for (auto e : xn_star) { + for (auto e : xn_base) { sum += e; } if (std::abs(sum) - 1.0_rt > NumSpec * smallx) { - amrex::Error("ERROR: ash mass fractions don't sum to 1"); - } - - sum = 0.0; - for (auto e : xn_base) { - if (std::abs(sum) - 1.0_rt > NumSpec * smallx) { amrex::Error("ERROR: fuel mass fractions don't sum to 1"); - } - } + } + - sum = 0.0; - for (auto e : xn_top_layer) { - if (std::abs(sum) - 1.0_rt > NumSpec * smallx) { - amrex::Error("ERROR: fuel mass fractions don't sum to 1"); - } - } // Create a 1-d uniform grid that is identical to the mesh that we are // mapping onto, and then we want to force it into HSE on that mesh. @@ -270,38 +193,26 @@ AMREX_INLINE void init_1d() // set an initial temperature profile and composition - double a = 0.0; - for (int i = 0; i < problem_rp::nx; ++i) { - // Composition - // hyperbolic tangent transition between star and layer1 - // sigmoid between layer1 and layer2 + // Make hyperbolic tangent transition between star and base + // Composition for (int n = 0; n < NumSpec; ++n) { - - // tanh part - a = xn_star[n] + + model_hse(i, ispec+n) = xn_star[n] + 0.5_rt * (xn_base[n] - xn_star[n]) * (1.0_rt + std::tanh((xzn_hse(i) - (problem_rp::xmin + problem_rp::H_star - problem_rp::delta) + problem_rp::delta) / problem_rp::delta)); - - // add sigmoid - model_hse(i, ispec+n) = xn_top_layer[n] + (a - xn_top_layer[n]) / - pow(1 + pow(xzn_hse(i)/problem_rp::H_sig, problem_rp::alpha_sig), problem_rp::beta_sig); - } + } // Temperature - // hyperbolic tangent transition for the temperature - model_hse(i, itemp) = problem_rp::T_star + 0.5_rt * (problem_rp::T_base - problem_rp::T_star) * (1.0_rt + std::tanh((xzn_hse(i) - (problem_rp::xmin + problem_rp::H_star - problem_rp::delta) + problem_rp::delta) / problem_rp::delta)); + // the density and pressure will be determined via HSE, // for now, set them to the base conditions - model_hse(i, idens) = problem_rp::dens_base; model_hse(i, ipres) = pres_base; - } @@ -315,8 +226,7 @@ AMREX_INLINE void init_1d() break; } } - } - else { + } else { for (int i = 0; i < problem_rp::nx; ++i) { if (xzn_hse(i) >= problem_rp::xmin + problem_rp::H_star + problem_rp::delta) { index_base = i+1; @@ -335,28 +245,23 @@ AMREX_INLINE void init_1d() // find the index of the radiative zone height int index_rad = -1; - if (problem_rp::do_isothermal_instead) { - index_rad = problem_rp::nx+1; // temporarily put this outside of the grid - } else { - - if (problem_rp::H_rad < problem_rp::H_star) { - amrex::Error("ERROR: H_rad= problem_rp::xmin + problem_rp::H_rad) { - index_rad = i; - break; - } - } + if (problem_rp::H_rad < problem_rp::H_star) { + amrex::Error("ERROR: H_rad= problem_rp::xmin + problem_rp::H_rad) { + index_rad = i; + break; } + } - std::cout << "index_rad = " << index_rad << "; x=" << xzn_hse(index_rad) << std::endl; + if (index_rad == -1) { + amrex::Error("ERROR: rad_height not found on grid"); } + std::cout << "index_rad = " << index_rad << "; x=" << xzn_hse(index_rad) << std::endl; + // make the base thermodynamics consistent for this base point -- that is // what we will integrate from! @@ -371,13 +276,13 @@ AMREX_INLINE void init_1d() model_hse(index_base, ipres) = eos_state.p; - + std::cout << "base column depth y8 = " << -1.*eos_state.p/problem_rp::g_const/1.e8 << std::endl; // HSE solve // the HSE state will be done putting creating an isentropic state until - // reaching H_rad. Then, we set the radiative profile using the luminosity. + // reaching H_rad. Then, we set the radiative profile using the flux // once the density goes below low_density_cutoff, we stop HSE @@ -395,14 +300,6 @@ AMREX_INLINE void init_1d() Real delx = xzn_hse(i) - xzn_hse(i-1); - // compute the gravitation acceleration at the lower edge - Real g_zone; - if (problem_rp::do_invsq_grav == 1) { - g_zone = -C::Gconst * problem_rp::M_enclosed / std::pow(xznl_hse(i), 2); - } else { - g_zone = problem_rp::g_const; - } - // we've already set initial guesses for density, temperature, and composition dens_zone = model_hse(i, idens); temp_zone = model_hse(i, itemp); @@ -429,7 +326,17 @@ AMREX_INLINE void init_1d() // HSE differencing p_want = model_hse(i-1, ipres) + - delx * 0.5_rt * (dens_zone + model_hse(i-1, idens)) * g_zone; + delx * 0.5_rt * (dens_zone + model_hse(i-1, idens)) * problem_rp::g_const; + + // pressure also sets the hydrogen fraction + // (+ P/g/yd because g is defined negative) + xn[ih1] = problem_rp::X0 * (1 + p_want/problem_rp::g_const/problem_rp::yd); + xn[ihe4] = 1.0 - problem_rp::Zcno - xn[ih1]; + if (xn[ih1]<0) { + xn[ih1] = 0; + xn[ihe4] = 1.0 - problem_rp::Zcno; + } + // now we have two functions to zero: // A = p_want - p(rho,T) @@ -467,10 +374,10 @@ AMREX_INLINE void init_1d() Real dst = eos_state.dsdT; // ds/dT Real dsd = eos_state.dsdr; // ds/drho - dtemp = ((dsd / (dpd - 0.5_rt * delx * g_zone)) * A - B)/ - (dsd * dpt / (dpd - 0.5_rt * delx * g_zone) - dst); + dtemp = ((dsd / (dpd - 0.5_rt * delx * problem_rp::g_const)) * A - B)/ + (dsd * dpt / (dpd - 0.5_rt * delx * problem_rp::g_const) - dst); - drho = (A - dpt * dtemp) / (dpd - 0.5_rt * delx * g_zone); + drho = (A - dpt * dtemp) / (dpd - 0.5_rt * delx * problem_rp::g_const); // Update density and temperature in the zone // This assumes both values are going down @@ -490,7 +397,7 @@ AMREX_INLINE void init_1d() fluff = true; // raise a warning because this happens before the radiative part - std::cout << "Warning: reached cut-off density before radiative zone" << std::endl; + std::cout << "\nWarning: reached cut-off density before radiative zone!!" << std::endl; break; } @@ -501,26 +408,21 @@ AMREX_INLINE void init_1d() converged_hse = true; break; } - - // If reached T_lo and we intend to do isothermal, set index_rad to previous zone - // break and restart this iteration in the next part of the calculation - if (problem_rp::do_isothermal_instead && temp_zone < problem_rp::T_lo) { - temp_zone = problem_rp::T_lo; - index_rad = i-1; - converged_hse = true; - std::cout << "Starting isothermal at x=" << xzn_hse(index_rad) << std::endl; - break; - } } if (! converged_hse) { - std::cout << "Error zone " << i << " did not converge in init_1d" << std::endl; - std::cout << "isentropic layer" << std::endl; - std::cout << dens_zone << " " << temp_zone << std::endl; + std::cout << "\nError zone " << i << " did not converge in init_1d" << std::endl; + std::cout << "x = " << xzn_hse(i) << "(isentropic layer)" << std::endl; + std::cout << "\ndens_zone temp_zone" << std::endl; + std::cout << dens_zone << " " << temp_zone << std::endl; + std::cout << "\np_want entropy_base entropy" << std::endl; std::cout << p_want << " " << entropy_base << " " << entropy << std::endl; + std::cout << "\nX(h1) X(he4) X(ash)" << std::endl; + std::cout << xn[ih1] << " " << xn[ihe4] << " " << xn[iash] << std::endl; + std::cout << "\ndrho dT" << std::endl; std::cout << drho << " " << dtemp << std::endl; - amrex::Error("Error: HSE non-convergence"); + amrex::Error("Error: HSE non-convergence\n"); } // call the EOS one more time for this zone and then go on to the next @@ -530,6 +432,7 @@ AMREX_INLINE void init_1d() eos_state.rho = dens_zone; for (int n = 0; n < NumSpec; ++n) { eos_state.xn[n] = xn[n]; + model_hse(i, ispec+n) = xn[n]; } eos(eos_input_rt, eos_state); @@ -547,28 +450,48 @@ AMREX_INLINE void init_1d() } - std::cout << "Reached end of adiabatic region at r=" << xzn_hse(index_rad) <<" T=" << model_hse(index_rad,itemp) << std::endl; + std::cout << "Reached end of adiabatic region at r=" << xzn_hse(index_rad) <<" T8=" << model_hse(index_rad,itemp)/1.e8 << std::endl; + std::cout << "radiative column depth y8 = " << -1.*pres_zone/problem_rp::g_const/1.e8 << std::endl; + + - // integrate up to the top of the model + // Above is the radiative layer + + // Get the radiative flux at the edge of the adiabatic zone + + int i0 = index_rad; + + Real rad_D = C::a_rad * C::c_light / + (3 * 0.2 * 0.5 * ( + (1 + model_hse(i0, ispec+Species::H1-1)) * model_hse(i0, idens) + + (1 + model_hse(i0-1, ispec+Species::H1-1)) * model_hse(i0-1, idens) + )); + + Real dT4_dr = (pow(model_hse(i0, itemp), 4) - pow(model_hse(i0-1, itemp), 4)) / + (xzn_hse(i0) - xzn_hse(i0-1)); + + Real F0 = problem_rp::F0; + if (F0 == -1) { + F0 = -rad_D * dT4_dr; + } + std::cout << "Flux at bottom of rad zone F22 = " << F0/1.e22 << std::endl; - // Some extra vars needed here - Real rad_D = 0.0; + Array1D rad_flux; + for (int i = 0; i < problem_rp::nx; ++i) { + rad_flux(i) = F0; + } + + + // Now integrate up to the top of the model Real t4 = 0.0; for (int i = index_rad; i < problem_rp::nx; ++i) { Real delx = xzn_hse(i) - xzn_hse(i-1); - // compute the gravitation acceleration at the lower edge - Real g_zone; - if (problem_rp::do_invsq_grav == 1) { - g_zone = -C::Gconst * problem_rp::M_enclosed / std::pow(xznl_hse(i), 2); - } else { - g_zone = problem_rp::g_const; - } - // we've already set initial guesses for density, temperature, and composition + // we've already set initial guesses for density, temperature, and composition dens_zone = model_hse(i, idens); temp_zone = model_hse(i, itemp); for (int n = 0; n < NumSpec; ++n) { @@ -584,58 +507,66 @@ AMREX_INLINE void init_1d() dens_zone = problem_rp::low_density_cutoff; temp_zone = problem_rp::T_lo; + // if here, assume we're at low column and X is constant + xn[ih1] = problem_rp::X0; + xn[ihe4] = 1.0 - problem_rp::X0 - problem_rp::Zcno; + } else { p_want = model_hse(i-1, ipres) + - delx * 0.5_rt * (dens_zone + model_hse(i-1, idens)) * g_zone; + delx * 0.5_rt * (dens_zone + model_hse(i-1, idens)) * problem_rp::g_const; + + // pressure also sets the hydrogen fraction + xn[ih1] = problem_rp::X0 * (1 + p_want/problem_rp::g_const/problem_rp::yd); + xn[ihe4] = 1.0 - problem_rp::Zcno - xn[ih1]; + if (xn[ih1] < 0) { + xn[ih1] = 0; + xn[ihe4] = 1.0 - problem_rp::Zcno; + } - if (problem_rp::do_isothermal_instead) { - temp_zone = problem_rp::T_lo; - - } else { + // In optically thick medium, radiation energy density is transported + // according to a diffusion law: + // Flux = -D d(T^4)/dx + // where the diffusion coefficient is D = ac/(3*kappa*rho) + // kappa is not included in EOS, just use classical electron scattering + // kap = 0.2*(1+X), where X is the hydrogen fraction + // Flux increments from constant hot CNO burning, i.e. + // dF/dy = -5.8e13 (Zcno/0.01) (or 0 if y>yd) - // In optically thick medium, radiation energy density is transported - // according to a diffusion law: - // Flux = -D d(T^4)/dx - // where the diffusion coefficient is D = ac/(3*kappa*rho) - // kappa is not included in EOS, just use classical electron scattering - // kap = 0.2*(1+X), where X is the hydrogen fraction - // std::cout << "hydrogen1 index in the network is:" << Species::H1-1 << std::endl; - - // kap = 0.2*(1+model_hse(i, ispec + Species::H1-1)); - // temp_zone = model_hse(i-1, itemp) - delx * 3.0_rt*kap*flux* - // 0.5_rt*(dens_zone + model_hse(i-1, idens)) / - // (4.0_rt * C::a_rad * C::c_light * pow(model_hse(i-1, itemp), 3)); - // t4 = pow(model_hse(i-1, itemp), 4) - delx * 3.0_rt*kap*F_rad* - // 0.5_rt*(dens_zone + model_hse(i-1, idens)) / (C::a_rad * C::c_light); - - // Average the diffusion coefficient over two zones - rad_D = C::a_rad * C::c_light / - (3 * 0.2 * 0.5 * ( - (1 + model_hse(i, ispec+Species::H1-1)) * dens_zone + - (1 + model_hse(i-1, ispec+Species::H1-1)) * model_hse(i-1, idens) - )); - - // Update T^4 - t4 = pow(model_hse(i-1, itemp), 4) - delx*problem_rp::F_rad/rad_D; - - // std::cout << pow(t4,0.25) << std::endl; - // break; - - if (t4 < pow(problem_rp::T_lo, 4.0_rt)) { - // if (t4 < 0.0) { - // if (true) { - // amrex::Error("Error: T<0"); - temp_zone = problem_rp::T_lo; // set to isothermal - } else { - temp_zone = pow(t4, 0.25_rt); - } - - // std::cout << "T=" << temp_zone << std::endl; + // std::cout << "hydrogen1 index in the network is:" << Species::H1-1 << std::endl; + // Average the diffusion coefficient over two zones + rad_D = C::a_rad * C::c_light / + (3 * 0.2 * 0.5 * ( + (1 + xn[ih1]) * dens_zone + + (1 + model_hse(i-1, ispec+Species::H1-1)) * model_hse(i-1, idens) + )); + + // Update the flux + if (xn[ih1] < smallx) { + rad_flux(i) = rad_flux(i-1); + } else { + rad_flux(i) = rad_flux(i-1) + 0.5 * (dens_zone + model_hse(i-1, idens)) * delx * + 5.8e13 * problem_rp::Zcno/0.01; } + // Update T^4 + t4 = pow(model_hse(i-1, itemp), 4) - 0.5 * (rad_flux(i) + rad_flux(i-1)) / rad_D; + + // std::cout << pow(t4,0.25) << std::endl; + // break; + + if (t4 < pow(problem_rp::T_lo, 4.0_rt)) { + // if (t4 < 0.0) { + // if (true) { + // amrex::Error("Error: T<0"); + temp_zone = problem_rp::T_lo; // set to isothermal + } else { + temp_zone = pow(t4, 0.25_rt); + } + + // std::cout << "T=" << temp_zone << std::endl; } // (t, rho) -> (p) @@ -652,11 +583,15 @@ AMREX_INLINE void init_1d() Real dpd = eos_state.dpdr; - drho = (p_want - pres_zone) / (dpd - 0.5_rt * delx * g_zone); + drho = (p_want - pres_zone) / (dpd - 0.5_rt * delx * problem_rp::g_const); dens_zone = amrex::max(0.9_rt * dens_zone, amrex::min(dens_zone + drho, 1.1_rt * dens_zone)); + // if (!fluff) { + // std::cout << rad_flux(i) << std::endl; + // } + if (std::abs(drho) < TOL * dens_zone) { converged_hse = true; break; @@ -672,7 +607,7 @@ AMREX_INLINE void init_1d() } if (! converged_hse) { - std::cout << "Error zone " << i << " did not converge in init_1d" << std::endl; + std::cout << "\nError zone " << i << " did not converge in init_1d" << std::endl; std::cout << "x = " << xzn_hse(i) << "(radiative layer)" << std::endl; std::cout << "rho,T = " << dens_zone << " " << temp_zone << std::endl; std::cout << "drho,dT = " << drho << " " << dtemp << std::endl; @@ -686,6 +621,7 @@ AMREX_INLINE void init_1d() eos_state.rho = dens_zone; for (int n = 0; n < NumSpec; ++n) { eos_state.xn[n] = xn[n]; + model_hse(i, ispec+n) = xn[n]; } eos(eos_input_rt, eos_state); @@ -703,6 +639,8 @@ AMREX_INLINE void init_1d() } + std::cout << "top column depth y = " << -1.*pres_zone/problem_rp::g_const << std::endl; + // integrate down -- using the temperature profile defined above @@ -710,15 +648,6 @@ AMREX_INLINE void init_1d() Real delx = xzn_hse(i+1) - xzn_hse(i); - // compute the gravitation acceleration at the upper edge - - Real g_zone; - if (problem_rp::do_invsq_grav == 1) { - g_zone = -C::Gconst * problem_rp::M_enclosed / std::pow(xznr_hse(i), 2); - } else { - g_zone = problem_rp::g_const; - } - // we already set the temperature and composition profiles temp_zone = model_hse(i, itemp); for (int n = 0; n < NumSpec; ++n) { @@ -746,7 +675,7 @@ AMREX_INLINE void init_1d() // HSE differencing p_want = model_hse(i+1, ipres) - - delx * 0.5_rt * (dens_zone + model_hse(i+1, idens)) * g_zone; + delx * 0.5_rt * (dens_zone + model_hse(i+1, idens)) * problem_rp::g_const; // we will take the temperature already defined in model_hse // so we only need to zero: @@ -767,7 +696,7 @@ AMREX_INLINE void init_1d() Real A = p_want - pres_zone; - drho = A / (dpd + 0.5_rt * delx * g_zone); + drho = A / (dpd + 0.5_rt * delx * problem_rp::g_const); dens_zone = amrex::max(0.9_rt * dens_zone, amrex::min(dens_zone + drho, 1.1_rt * dens_zone)); @@ -814,13 +743,6 @@ AMREX_INLINE void init_1d() // std::string outfile = problem_rp::model_prefix + ".hse.tanh.delta_" + deltastr + ".dx_" + dxstr; std::string outfile = problem_rp::model_prefix + "_" + dxstr + ".hse"; - // std::string outfile = problem_rp::model_prefix; - // if (! problem_rp::do_isothermal_instead) { - // std::stringstream ss; - // ss << std::setprecision(4) << problem_rp::F_rad; - // outfile += "_Frad_" + ss.str(); - // } - // outfile += "_" + dxstr + ".hse"; std::string outfile2 = outfile + ".extras"; @@ -885,17 +807,8 @@ AMREX_INLINE void init_1d() Real delx = xzn_hse(i) - xzn_hse(i-1); - // compute the gravitation acceleration at the lower edge - - Real g_zone; - if (problem_rp::do_invsq_grav == 1) { - g_zone = -C::Gconst * problem_rp::M_enclosed / std::pow(xznl_hse(i), 2); - } else { - g_zone = problem_rp::g_const; - } - Real dpdr = (model_hse(i, ipres) - model_hse(i-1, ipres)) / delx; - Real rhog = 0.5_rt * (model_hse(i, idens) + model_hse(i-1, idens)) * g_zone; + Real rhog = 0.5_rt * (model_hse(i, idens) + model_hse(i-1, idens)) * problem_rp::g_const; if (dpdr != 0.0_rt && model_hse(i+1, idens) > problem_rp::low_density_cutoff) { max_hse_error = amrex::max(max_hse_error, std::abs(dpdr - rhog) / std::abs(dpdr)); @@ -904,4 +817,4 @@ AMREX_INLINE void init_1d() std::cout << "maximum HSE error = " << max_hse_error << std::endl; -} +} \ No newline at end of file diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs index 514dec785..d678c51a7 100644 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs @@ -4,43 +4,28 @@ problem.nx = 1024 problem.xmin = 0.0 problem.xmax = 3072.0 -#problem.dens_base = 1.7e6 -problem.dens_base = 2.0e6 +problem.g_const = -1.29e14 + +problem.dens_base = 1.7e6 +#problem.dens_base = 2.0e6 problem.low_density_cutoff = 1.e-2 problem.T_star = 2.0e8 + #problem.T_base = 2.75e8 problem.T_base = 3.5e8 + problem.T_lo = 1.e7 problem.H_star = 1070.0 problem.delta = 10.0 problem.H_rad = 1330.0 -problem.F_rad = 4.0e21 - -problem.H_sig = 1655.0 -problem.alpha_sig = 171.0 -problem.beta_sig = 0.087 - -problem.fuel1_name = "hydrogen-1" -problem.fuel1_frac = 0.70 +problem.F0 = 1.e22 -problem.fuel2_name = "helium-4" -problem.fuel2_frac = 0.28 - -#problem.fuel3_name = "carbon-12" -#problem.fuel3_frac = 0.02 - -problem.fuel3_name = "oxygen-14" -problem.fuel3_frac = 0.00704 - -problem.fuel4_name = "oxygen-15" -problem.fuel4_frac = 0.01296 - -problem.ash1_name = "iron-56" -problem.ash1_frac = 1.0 - -problem.g_const = -1.29e14 +problem.X0 = 0.70 +problem.Zcno = 0.02 +problem.yd = 3.7e7 +problem.ash_name = "iron-56" -problem.index_base_from_temp = 1 +problem.index_base_from_temp = 1 \ No newline at end of file diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_fit_mesa b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_fit_mesa new file mode 100644 index 000000000..9f233b6b4 --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_fit_mesa @@ -0,0 +1,29 @@ +problem.model_prefix = "toy_atm_fit_mesa" + +problem.nx = 1024 +problem.xmin = 0.0 +problem.xmax = 3072.0 + +problem.g_const = -1.29e14 + +problem.dens_base = 1.7e6 +problem.low_density_cutoff = 1.e-2 + +problem.T_star = 2.0e8 + +problem.T_base = 2.75e8 + +problem.T_lo = 1.e7 + +problem.H_star = 1070.0 +problem.delta = 10.0 + +problem.H_rad = 1330.0 +problem.F0 = 6.6e21 + +problem.X0 = 0.70 +problem.Zcno = 0.02 +problem.yd = 3.7e7 +problem.ash_name = "iron-56" + +problem.index_base_from_temp = 1 \ No newline at end of file diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot new file mode 100644 index 000000000..33f6eec10 --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot @@ -0,0 +1,31 @@ +problem.model_prefix = "toy_atm_hot" + +problem.nx = 1024 +problem.xmin = 0.0 +problem.xmax = 3072.0 + +problem.g_const = -1.29e14 + +problem.dens_base = 1.7e6 +#problem.dens_base = 2.0e6 +problem.low_density_cutoff = 1.e-2 + +problem.T_star = 2.0e8 + +#problem.T_base = 2.75e8 +problem.T_base = 3.5e8 + +problem.T_lo = 1.e7 + +problem.H_star = 1070.0 +problem.delta = 10.0 + +problem.H_rad = 1330.0 +problem.F0 = 1.8e22 + +problem.X0 = 0.70 +problem.Zcno = 0.02 +problem.yd = 3.7e7 +problem.ash_name = "iron-56" + +problem.index_base_from_temp = 1 \ No newline at end of file diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_castro b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_castro new file mode 100644 index 000000000..67f95435e --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/inputs_hot_castro @@ -0,0 +1,31 @@ +problem.model_prefix = "toy_atm_hot_castro" + +problem.nx = 1024 +problem.xmin = 0.0 +problem.xmax = 3072.0 + +problem.g_const = -1.29e14 + +problem.dens_base = 1.7e6 +#problem.dens_base = 2.0e6 +problem.low_density_cutoff = 1.e-4 + +problem.T_star = 2.0e8 + +#problem.T_base = 2.75e8 +problem.T_base = 3.5e8 + +problem.T_lo = 1.e7 + +problem.H_star = 1070.0 +problem.delta = 10.0 + +problem.H_rad = 1330.0 +problem.F0 = 1.8e22 + +problem.X0 = 0.70 +problem.Zcno = 0.02 +problem.yd = 3.7e7 +problem.ash_name = "iron-56" + +problem.index_base_from_temp = 1 \ No newline at end of file diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_3cm.hse.extras b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_3cm.hse.extras deleted file mode 100644 index 0950c7932..000000000 --- a/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_3cm.hse.extras +++ /dev/null @@ -1,3076 +0,0 @@ -# npts = 1024 -# num of variables = 2 -# entropy -# c_s - 1.5 - 29554614.7353 - 345070469.342 - 4.5 - 29571918.5118 - 344841092.995 - 7.5 - 29589262.1664 - 344611493.414 - 10.5 - 29606645.873 - 344381669.846 - 13.5 - 29624069.8065 - 344151621.563 - 16.5 - 29641534.1435 - 343921347.857 - 19.5 - 29659039.0615 - 343690848.044 - 22.5 - 29676584.7392 - 343460121.461 - 25.5 - 29694171.3566 - 343229167.469 - 28.5 - 29711799.0949 - 342997985.452 - 31.5 - 29729468.1359 - 342766574.821 - 34.5 - 29747178.6631 - 342534935.006 - 37.5 - 29764930.8604 - 342303065.466 - 40.5 - 29782724.913 - 342070965.682 - 43.5 - 29800561.0069 - 341838635.163 - 46.5 - 29818439.3291 - 341606073.44 - 49.5 - 29836360.0673 - 341373280.074 - 52.5 - 29854323.4099 - 341140254.648 - 55.5 - 29872329.5464 - 340906996.774 - 58.5 - 29890378.6666 - 340673506.09 - 61.5 - 29908470.9613 - 340439782.259 - 64.5 - 29926606.6218 - 340205824.974 - 67.5 - 29944785.8399 - 339971633.953 - 70.5 - 29963008.8081 - 339737208.942 - 73.5 - 29981275.7192 - 339502549.714 - 76.5 - 29999586.7798 - 339267655.936 - 79.5 - 30017942.2056 - 339032526.67 - 82.5 - 30036342.1926 - 338797160.82 - 85.5 - 30054786.9388 - 338561557.311 - 88.5 - 30073276.6442 - 338325715.087 - 91.5 - 30091811.5108 - 338089633.113 - 94.5 - 30110391.7427 - 337853310.375 - 97.5 - 30129017.5458 - 337616745.881 - 100.5 - 30147689.1282 - 337379938.661 - 103.5 - 30166406.6995 - 337142887.768 - 106.5 - 30185170.4715 - 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a/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_fit_mesa_3cm.hse.extras b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_fit_mesa_3cm.hse.extras new file mode 100644 index 000000000..6c8515c6b --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_fit_mesa_3cm.hse.extras @@ -0,0 +1,3076 @@ +# npts = 1024 +# num of variables = 2 +# entropy +# c_s + 1.5 + 30042153.2253 + 338722897.606 + 4.5 + 30060612.126 + 338487218.94 + 7.5 + 30079116.0494 + 338251301.231 + 10.5 + 30097665.1982 + 338015143.449 + 13.5 + 30116259.777 + 337778744.588 + 16.5 + 30134899.9924 + 337542103.663 + 19.5 + 30153586.053 + 337305219.711 + 22.5 + 30172318.1691 + 337068091.792 + 25.5 + 30191096.5529 + 336830718.991 + 28.5 + 30209921.4185 + 336593100.418 + 31.5 + 30228792.9817 + 336355235.204 + 34.5 + 30247711.4598 + 336117122.511 + 37.5 + 30266677.0719 + 335878761.522 + 40.5 + 30285690.0388 + 335640151.45 + 43.5 + 30304750.5827 + 335401291.533 + 46.5 + 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b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_3cm.hse @@ -0,0 +1,1050 @@ +# npts = 1024 +# num of variables = 24 +# density +# temperature +# pressure +# hydrogen-1 +# helium-4 +# carbon-12 +# carbon-13 +# nitrogen-13 +# nitrogen-14 +# nitrogen-15 +# oxygen-14 +# oxygen-15 +# oxygen-16 +# oxygen-17 +# oxygen-18 +# fluorine-17 +# fluorine-18 +# fluorine-19 +# neon-18 +# neon-19 +# neon-20 +# magnesium-22 +# magnesium-24 +# iron-56 + 1.5 12227838.4465 200000000 9.7620136297e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 4.5 12186803.4481 200000000 9.71477129764e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 7.5 12145849.3925 200000000 9.66768761439e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 10.5 12104976.222 200000000 9.62076226683e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 13.5 12064183.8321 200000000 9.57399494212e+23 1e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 + 16.5 12023472.144 200000000 9.52738532781e+23 1e-10 0 0 0 0 0 0 0 0 0 0 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1024 +# num of variables = 2 +# entropy +# c_s + 1.5 + 29932151.0685 + 340134364.664 + 4.5 + 29950343.6206 + 339900102.244 + 7.5 + 29968579.9815 + 339665605.763 + 10.5 + 29986860.3449 + 339430874.999 + 13.5 + 30005184.9269 + 339195909.458 + 16.5 + 30023553.9337 + 338960708.091 + 19.5 + 30041967.5621 + 338725269.811 + 22.5 + 30060426.0104 + 338489593.547 + 25.5 + 30078929.4795 + 338253678.249 + 28.5 + 30097478.1718 + 338017522.89 + 31.5 + 30116072.292 + 337781126.462 + 34.5 + 30134712.0468 + 337544487.98 + 37.5 + 30153397.6446 + 337307606.479 + 40.5 + 30172129.2959 + 337070481.022 + 43.5 + 30190907.2127 + 336833110.692 + 46.5 + 30209731.6092 + 336595494.598 + 49.5 + 30228602.701 + 336357631.873 + 52.5 + 30247520.7055 + 336119521.676 + 55.5 + 30266485.8419 + 335881163.191 + 58.5 + 30285498.3308 + 335642555.632 + 61.5 + 30304558.3945 + 335403698.234 + 64.5 + 30323666.2567 + 335164590.265 + 67.5 + 30342822.1426 + 334925231.017 + 70.5 + 30362026.279 + 334685619.812 + 73.5 + 30381278.8937 + 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+24,1027 @@ # magnesium-22 # magnesium-24 # iron-56 - 1.5 13121448.1072 200000000 1.08068000997e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 4.5 13078673.3406 200000000 1.07561028647e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 7.5 13035980.9255 200000000 1.07055710087e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 10.5 12993370.7933 200000000 1.06552042131e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 13.5 12950842.8748 200000000 1.06050021597e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 16.5 12908397.1006 200000000 1.05549645303e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 19.5 12866033.4011 200000000 1.05050910073e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 22.5 12823751.7066 200000000 1.04553812731e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 - 25.5 12781551.9474 200000000 1.04058350106e+24 1.00000008274e-10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 diff --git a/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_castro_3cm.hse.extras b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_castro_3cm.hse.extras new file mode 100644 index 000000000..d1aae910f --- /dev/null +++ b/Exec/science/xrb_layered/create_initial_model/toy_atm/toy_atm_hot_castro_3cm.hse.extras @@ -0,0 +1,3076 @@ +# npts = 1024 +# num of variables = 2 +# entropy +# c_s + 1.5 + 29932151.0685 + 340134364.664 + 4.5 + 29950343.6206 + 339900102.244 + 7.5 + 29968579.9815 + 339665605.763 + 10.5 + 29986860.3449 + 339430874.999 + 13.5 + 30005184.9269 + 339195909.458 + 16.5 + 30023553.9337 + 338960708.091 + 19.5 + 30041967.5621 + 338725269.811 + 22.5 + 30060426.0104 + 338489593.547 + 25.5 + 30078929.4795 + 338253678.249 + 28.5 + 30097478.1718 + 338017522.89 + 31.5 + 30116072.292 + 337781126.462 + 34.5 + 30134712.0468 + 337544487.98 + 37.5 + 30153397.6446 + 337307606.479 + 40.5 + 30172129.2959 + 337070481.022 + 43.5 + 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